What is the Greatest Common Factor of 87100 and 87110?

Greatest common factor (GCF) of 87100 and 87110 is 10.

GCF(87100,87110) = 10

We will now calculate the prime factors of 87100 and 87110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87100 and 87110.

How to find the GCF of 87100 and 87110?

We will first find the prime factorization of 87100 and 87110. After we will calculate the factors of 87100 and 87110 and find the biggest common factor number .

Step-1: Prime Factorization of 87100

Prime factors of 87100 are 2, 5, 13, 67. Prime factorization of 87100 in exponential form is:

87100 = 2² × 5² × 13¹ × 67¹

Step-2: Prime Factorization of 87110

Prime factors of 87110 are 2, 5, 31, 281. Prime factorization of 87110 in exponential form is:

87110 = 2¹ × 5¹ × 31¹ × 281¹

Step-3: Factors of 87100

List of positive integer factors of 87100 that divides 87100 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 67, 100, 130, 134, 260, 268, 325, 335, 650, 670, 871, 1300, 1340, 1675, 1742, 3350, 3484, 4355, 6700, 8710, 17420, 21775, 43550

Step-4: Factors of 87110

List of positive integer factors of 87110 that divides 87100 without a remainder.

1, 2, 5, 10, 31, 62, 155, 281, 310, 562, 1405, 2810, 8711, 17422, 43555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87100 and 87110. The biggest common factor number is the GCF number.
So the greatest common factor 87100 and 87110 is 10.

Also check out the Least Common Multiple of 87100 and 87110